论文标题
$ f（r_ {μνρσ}，g^{μν}）中的II，III或IV物质字段的非静态性
Nonstaticity with type II, III, or IV matter field in $f(R_{μνρσ},g^{μν})$ gravity
论文作者
论文摘要
在所有$ n（\ ge 3）$ - 尺寸重力理论中，其Lagrangians是Riemann Tensor and Metric的功能，我们表明缺乏静态溶液，除非对于物质字段的总能量量张量在HAWKING-ELLIS分类中是I型。换句话说，在时空区域中没有超出表面的杀死向量，具有II型，III或IV型的能量弹药张。这断言，如果考虑到反应以提供自洽的解决方案，那么即使使用较高的外观校正项，具有半经典的IV型物质字段的超密集区域也不能静态。结果，只有在半经典的总能量弹药张量为I型时，静态的普朗克质量遗物才有可能作为蒸发黑洞的最终状态。
In all $n(\ge 3)$-dimensional gravitation theories whose Lagrangians are functions of the Riemann tensor and metric, we show that static solutions are absent unless the total energy-momentum tensor for matter fields is of type I in the Hawking-Ellis classification. In other words, there is no hypersurface-orthogonal timelike Killing vector in a spacetime region with an energy-momentum tensor of type II, III, or IV. This asserts that, if back-reaction is taken into account to give a self-consistent solution, ultra-dense regions with a semiclassical type-IV matter field cannot be static even with higher-curvature correction terms. As a consequence, a static Planck-mass relic is possible as a final state of an evaporating black hole only if the semiclassical total energy-momentum tensor is of type I.
